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Definite Integration question

2017 · 8 Apr · Shift 1 · Q43

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JEE Main
Mathematics
Definite Integration
2017 · 8 Apr · Shift 1 · Q43

Definite Integration question

2017 · 8 Apr · Shift 1 · Q43

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

\int_{{\pi \over {12}}}^{{\pi \over 4}} {\,\,{{8\cos 2x} \over {{{\left( {\tan x + \cot x} \right)}^3}}}} \,dx

equals :

A
${{15} \over {128}}$
B
${{15} \over {64}}$
C
${{13} \over {32}}$
D
${{13} \over {256}}$

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